Find the Sum/Difference of the following integers. 1. -2 + 9 =

On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions,

Vinil7 [7]

Answer:

It is impossible to simulate this with a random number generator without knowing what the correct answer choices were

Step-by-step explanation:

Given

$Questions = 4$

$Options = 5$

Required

How can he select the right answer

Using randint will only generate a random number which could or could not be the answer to the question.

This is so because each of the 5 options for the question has the same probability of 1/5. So, using randint will only generate a random number. This generated random number has 1/5 chance of being the answer and 4/5 of not being the answer to the question.

In a nutshell, he can not make use of a simulator to select the answer to the questions in this scenario, unless he knows the solution.

<em>Hence (a) answers the question.</em>

3 0

2 years ago

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

3 years ago

Which transformations will map octagon PQRSTVWZ onto itself?

Usimov [2.4K]

Answer:

Rotation, Reflection and Translation.

4 0

2 years ago

A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la

Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

each two consecutive numbers

- Ex:

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

So the nth term is Un = a + (n – 1)d, where n is the position of the

number in the series

- The formula to find the sum of n terms is

Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0

3 years ago

Three billion sixty million sixty six thousand nine hundred

Anestetic [448]

Answer:

3,000,000,000

60,000,000

66,000

900

Step-by-step explanation:

3,060,066,900

:)I dont know is C

8 0

3 years ago